Question

list the points in the graph in the interval 0 < x < 6 at which the function is not differentiable. the function is not differentiable at x = (use a comma to separate answers as needed.)

Explanation:

Step1: Recall non - differentiability conditions

A function is not differentiable at points of discontinuity, sharp corners, and vertical tangents.

Step2: Analyze the graph

In the given graph in the interval \(0 < x<6\), we look for such features. We can see sharp corners and possible discontinuities.

Step3: Identify non - differentiable points

By observing the graph, the function has non - differentiable points where there are breaks in the smoothness of the curve. These occur at \(x = 2,x = 4\).

Answer:

2, 4